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The method of weighting and approximation of restricted pseudosolutions (Q1096831)

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scientific article; zbMATH DE number 4032301
Language Label Description Also known as
English
The method of weighting and approximation of restricted pseudosolutions
scientific article; zbMATH DE number 4032301

    Statements

    title
    The method of weighting and approximation of restricted pseudosolutions (English)
    0 references
    author
    B. George
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    publication date
    1987
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    review text
    For solving problems in approximation theory many methods are used among which is the method of weighting, so named in finite-dimensional case. It is applied here to approximate the restricted pseudosolution x of \(Kx=g\). Of special interest is its least square solution among all such solutions of \(Lx=h\). Here K and L are bounded linear operators for Hilbert spaces \(H_ 1\to H_ 2\) and \(H_ 1\to H_ 3\), respectively. Two lemmas, a proposition and three theorems summarise the chief results.
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    zbMATH Keywords
    method of weighting
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    restricted pseudosolution
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    least square solution
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    Identifiers

    zbMATH DE Number
    4032301
    0 references
    OpenAlex ID
    W1972520093
    0 references
     
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